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Simplifying 3(2y + -5) = 13 + 2y + 6 Reorder the terms: 3(-5 + 2y) = 13 + 2y + 6 (-5 * 3 + 2y * 3) = 13 + 2y + 6 (-15 + 6y) = 13 + 2y + 6 Reorder the terms: -15 + 6y = 13 + 6 + 2y Combine like terms: 13 + 6 = 19 -15 + 6y = 19 + 2y Solving -15 + 6y = 19 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -15 + 6y + -2y = 19 + 2y + -2y Combine like terms: 6y + -2y = 4y -15 + 4y = 19 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + 4y = 19 + 0 -15 + 4y = 19 Add '15' to each side of the equation. -15 + 15 + 4y = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 4y = 19 + 15 4y = 19 + 15 Combine like terms: 19 + 15 = 34 4y = 34 Divide each side by '4'. y = 8.5 Simplifying y = 8.5
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